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Finding the Fourth Proportional to 509,404.50, 703,001.31 and 283,050

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Solution

The fourth proportional to 509,404.50, 703,001.31 and 283,050 is: 390,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,404.50 : 703,001.31 = 283,050 : x
  2. Step 2: Convert to fraction form
    509,404.50/703,001.31 = 283,050/x
  3. Step 3: Cross multiply
    509,404.50x = 703,001.31 × 283,050
  4. Step 4: Simplify right side
    509,404.50x = 198,984,520,795.50
  5. Step 5: Solve for x
    x = 198,984,520,795.50/509,404.50
  6. Step 6: Final answer
    x = 390,621.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.